{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tolerancing - Monte Carlo Simulations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.samples.objectives import CookeTriplet\n",
    "from optiland.tolerancing.core import Tolerancing\n",
    "from optiland.tolerancing.monte_carlo import MonteCarlo\n",
    "from optiland.tolerancing.perturbation import DistributionSampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optic = CookeTriplet()\n",
    "optic.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "tolerancing = Tolerancing(optic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# loop through all surfaces and add perturbations\n",
    "for k in range(1, 7):\n",
    "    # X-tilt\n",
    "    sampler = DistributionSampler(\"normal\", loc=0, scale=0.01)\n",
    "    tolerancing.add_perturbation(\"tilt\", sampler, surface_number=k, axis=\"x\")\n",
    "\n",
    "    # Y-tilt\n",
    "    sampler = DistributionSampler(\"normal\", loc=0, scale=0.01)\n",
    "    tolerancing.add_perturbation(\"tilt\", sampler, surface_number=k, axis=\"y\")\n",
    "\n",
    "    # X-decenter\n",
    "    sampler = DistributionSampler(\"normal\", loc=0, scale=0.1)\n",
    "    tolerancing.add_perturbation(\"decenter\", sampler, surface_number=k, axis=\"x\")\n",
    "\n",
    "    # Y-decenter\n",
    "    sampler = DistributionSampler(\"normal\", loc=0, scale=0.1)\n",
    "    tolerancing.add_perturbation(\"decenter\", sampler, surface_number=k, axis=\"y\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define operands:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_data = {\n",
    "    \"optic\": optic,\n",
    "    \"surface_number\": -1,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 1,\n",
    "    \"wavelength\": 0.55,\n",
    "    \"num_rays\": 5,\n",
    "}\n",
    "tolerancing.add_operand(\"rms_spot_size\", input_data, target=0)\n",
    "\n",
    "input_data = {\"optic\": optic, \"Hx\": 0, \"Hy\": 1, \"wavelength\": 0.55, \"num_rays\": 5}\n",
    "tolerancing.add_operand(\"OPD_difference\", input_data)\n",
    "\n",
    "input_data = {\n",
    "    \"optic\": optic,\n",
    "    \"surface_number\": -1,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 1,\n",
    "    \"Px\": 0,\n",
    "    \"Py\": 0,\n",
    "    \"wavelength\": 0.55,\n",
    "}\n",
    "tolerancing.add_operand(\"real_y_intercept\", input_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "monte_carlo = MonteCarlo(tolerancing)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "monte_carlo.run(num_iterations=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "monte_carlo.view_histogram(kde=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "monte_carlo.view_cdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "monte_carlo.view_heatmap(vmin=-0.2, vmax=0.2, figsize=(10, 10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get pandas dataframe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = monte_carlo.get_results()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Tilt X, Surface 1</th>\n",
       "      <th>Tilt Y, Surface 1</th>\n",
       "      <th>Decenter X, Surface 1</th>\n",
       "      <th>Decenter Y, Surface 1</th>\n",
       "      <th>Tilt X, Surface 2</th>\n",
       "      <th>Tilt Y, Surface 2</th>\n",
       "      <th>Decenter X, Surface 2</th>\n",
       "      <th>Decenter Y, Surface 2</th>\n",
       "      <th>Tilt X, Surface 3</th>\n",
       "      <th>Tilt Y, Surface 3</th>\n",
       "      <th>...</th>\n",
       "      <th>Tilt Y, Surface 5</th>\n",
       "      <th>Decenter X, Surface 5</th>\n",
       "      <th>Decenter Y, Surface 5</th>\n",
       "      <th>Tilt X, Surface 6</th>\n",
       "      <th>Tilt Y, Surface 6</th>\n",
       "      <th>Decenter X, Surface 6</th>\n",
       "      <th>Decenter Y, Surface 6</th>\n",
       "      <th>0: rms spot size</th>\n",
       "      <th>1: OPD difference</th>\n",
       "      <th>2: real y intercept</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.001015</td>\n",
       "      <td>0.002997</td>\n",
       "      <td>-0.127951</td>\n",
       "      <td>-0.066370</td>\n",
       "      <td>-0.005958</td>\n",
       "      <td>0.014743</td>\n",
       "      <td>-0.070784</td>\n",
       "      <td>-0.240605</td>\n",
       "      <td>0.001648</td>\n",
       "      <td>-0.006904</td>\n",
       "      <td>...</td>\n",
       "      <td>0.002751</td>\n",
       "      <td>0.092850</td>\n",
       "      <td>0.158082</td>\n",
       "      <td>-0.019445</td>\n",
       "      <td>-0.005854</td>\n",
       "      <td>0.168591</td>\n",
       "      <td>-0.102832</td>\n",
       "      <td>0.124168</td>\n",
       "      <td>0.631540</td>\n",
       "      <td>17.847025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.011508</td>\n",
       "      <td>-0.005211</td>\n",
       "      <td>0.041137</td>\n",
       "      <td>-0.004807</td>\n",
       "      <td>0.002889</td>\n",
       "      <td>-0.007792</td>\n",
       "      <td>0.046076</td>\n",
       "      <td>0.037662</td>\n",
       "      <td>0.003016</td>\n",
       "      <td>0.005415</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.006646</td>\n",
       "      <td>0.130369</td>\n",
       "      <td>0.011208</td>\n",
       "      <td>0.000970</td>\n",
       "      <td>0.003864</td>\n",
       "      <td>-0.113458</td>\n",
       "      <td>-0.020629</td>\n",
       "      <td>0.041638</td>\n",
       "      <td>0.208169</td>\n",
       "      <td>18.190864</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.003466</td>\n",
       "      <td>-0.005655</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>0.016753</td>\n",
       "      <td>-0.011799</td>\n",
       "      <td>0.009776</td>\n",
       "      <td>0.019892</td>\n",
       "      <td>-0.023183</td>\n",
       "      <td>-0.013899</td>\n",
       "      <td>0.005049</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.000730</td>\n",
       "      <td>0.049114</td>\n",
       "      <td>0.069428</td>\n",
       "      <td>0.011433</td>\n",
       "      <td>0.002333</td>\n",
       "      <td>0.147592</td>\n",
       "      <td>-0.144352</td>\n",
       "      <td>0.075734</td>\n",
       "      <td>0.432374</td>\n",
       "      <td>18.077598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.000468</td>\n",
       "      <td>-0.005206</td>\n",
       "      <td>0.125718</td>\n",
       "      <td>0.059639</td>\n",
       "      <td>-0.001444</td>\n",
       "      <td>0.005054</td>\n",
       "      <td>0.163078</td>\n",
       "      <td>-0.087791</td>\n",
       "      <td>0.013155</td>\n",
       "      <td>0.016298</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.021962</td>\n",
       "      <td>0.111031</td>\n",
       "      <td>0.002104</td>\n",
       "      <td>-0.009333</td>\n",
       "      <td>-0.021805</td>\n",
       "      <td>0.007142</td>\n",
       "      <td>0.119026</td>\n",
       "      <td>0.103463</td>\n",
       "      <td>0.985458</td>\n",
       "      <td>16.721414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.014870</td>\n",
       "      <td>-0.001155</td>\n",
       "      <td>0.006523</td>\n",
       "      <td>0.063524</td>\n",
       "      <td>0.014476</td>\n",
       "      <td>0.004084</td>\n",
       "      <td>-0.067185</td>\n",
       "      <td>0.182418</td>\n",
       "      <td>0.004398</td>\n",
       "      <td>0.006592</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.013695</td>\n",
       "      <td>0.100291</td>\n",
       "      <td>-0.141527</td>\n",
       "      <td>0.005009</td>\n",
       "      <td>-0.002089</td>\n",
       "      <td>-0.208956</td>\n",
       "      <td>0.132641</td>\n",
       "      <td>0.088565</td>\n",
       "      <td>0.533616</td>\n",
       "      <td>17.929629</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Tilt X, Surface 1  Tilt Y, Surface 1  Decenter X, Surface 1  \\\n",
       "0          -0.001015           0.002997              -0.127951   \n",
       "1           0.011508          -0.005211               0.041137   \n",
       "2           0.003466          -0.005655               0.000153   \n",
       "3          -0.000468          -0.005206               0.125718   \n",
       "4           0.014870          -0.001155               0.006523   \n",
       "\n",
       "   Decenter Y, Surface 1  Tilt X, Surface 2  Tilt Y, Surface 2  \\\n",
       "0              -0.066370          -0.005958           0.014743   \n",
       "1              -0.004807           0.002889          -0.007792   \n",
       "2               0.016753          -0.011799           0.009776   \n",
       "3               0.059639          -0.001444           0.005054   \n",
       "4               0.063524           0.014476           0.004084   \n",
       "\n",
       "   Decenter X, Surface 2  Decenter Y, Surface 2  Tilt X, Surface 3  \\\n",
       "0              -0.070784              -0.240605           0.001648   \n",
       "1               0.046076               0.037662           0.003016   \n",
       "2               0.019892              -0.023183          -0.013899   \n",
       "3               0.163078              -0.087791           0.013155   \n",
       "4              -0.067185               0.182418           0.004398   \n",
       "\n",
       "   Tilt Y, Surface 3  ...  Tilt Y, Surface 5  Decenter X, Surface 5  \\\n",
       "0          -0.006904  ...           0.002751               0.092850   \n",
       "1           0.005415  ...          -0.006646               0.130369   \n",
       "2           0.005049  ...          -0.000730               0.049114   \n",
       "3           0.016298  ...          -0.021962               0.111031   \n",
       "4           0.006592  ...          -0.013695               0.100291   \n",
       "\n",
       "   Decenter Y, Surface 5  Tilt X, Surface 6  Tilt Y, Surface 6  \\\n",
       "0               0.158082          -0.019445          -0.005854   \n",
       "1               0.011208           0.000970           0.003864   \n",
       "2               0.069428           0.011433           0.002333   \n",
       "3               0.002104          -0.009333          -0.021805   \n",
       "4              -0.141527           0.005009          -0.002089   \n",
       "\n",
       "   Decenter X, Surface 6  Decenter Y, Surface 6  0: rms spot size  \\\n",
       "0               0.168591              -0.102832          0.124168   \n",
       "1              -0.113458              -0.020629          0.041638   \n",
       "2               0.147592              -0.144352          0.075734   \n",
       "3               0.007142               0.119026          0.103463   \n",
       "4              -0.208956               0.132641          0.088565   \n",
       "\n",
       "   1: OPD difference  2: real y intercept  \n",
       "0           0.631540            17.847025  \n",
       "1           0.208169            18.190864  \n",
       "2           0.432374            18.077598  \n",
       "3           0.985458            16.721414  \n",
       "4           0.533616            17.929629  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  }
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